Create a binomial probability experiment with the data from the public opinion poll experiment. Use the probability of success and failure from the experiment. Calculate the probability of the number of successes in 100 random tests. For example, if the probability of success is 0.20 and the number of trials is 100, then the number of successes is 20.

give a real answer please this is important for my grade

Answers

Answer 1

Step-by-step explanation:

How do you calculate number of successes?

Example:

Define Success first. Success must be for a single trial. Success = "Rolling a 6 on a single die"

Define the probability of success (p): p = 1/6.

Find the probability of failure: q = 5/6.

Define the number of trials: n = 6.

Define the number of successes out of those trials: x = 2.

Create A Binomial Probability Experiment With The Data From The Public Opinion Poll Experiment. Use The
Create A Binomial Probability Experiment With The Data From The Public Opinion Poll Experiment. Use The
Create A Binomial Probability Experiment With The Data From The Public Opinion Poll Experiment. Use The
Answer 2

Binomial probability distribution for the given set of data is

[tex]\ 100C_{x[/tex][tex]( 0.20)^{x} (0.80)^{100-x}[/tex].

What is binomial probability distribution?

"Binomial probability distribution is the representation of  a probability with only two outcomes success and failure under given number of trials."

Formula used

Binomial probability distribution is given by

[tex]\\n{C}_{x}p^{x}q^{n-x}[/tex]

n= number of experiments

x = 0, 1, 2, 3,.......

p = probability of success

q = probability of failure

According to the question,

Number of trials  'n' = 100

Probability of success 'p' = (20 / 100)

                                          = 0.20

Probability of failure 'q' = 1 - p

                                      = 1 - (20/100)

                                      =  (80 / 100)

Substitute the value in the formula we get

Required probability =  [tex]\ 100C_{x[/tex][tex]( 0.20)^{x} (0.80)^{100-x}[/tex]

Example:

Tossing a coin 6 times getting exactly two heads.

Number of trials 'n' = 6

Number of heads 'x' =2

Only two possible outcomes head or tail

Probability of getting head 'p' = 1 / 2

Probability of not getting head 'q' = 1 /2

Required probability = [tex]\ 6C_{2[/tex] (1/2)²(1/2) ⁶⁻²

                                  =[tex]\ 6C_{2[/tex] (1/2)⁶

Hence, binomial probability distribution for the given set of data is

[tex]\ 100C_{x[/tex][tex]( 0.20)^{x} (0.80)^{100-x}[/tex]

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Related Questions

Help me fast ASAP pls

Answers

Answer:

C

Step-by-step explanation:

I got it right

What is the probability that the same result (heads or tails) shows twice in a row exactly once in the ten tosses?

Answers

Answer:

1/512

Step-by-step explanation:

The probability is 2 out of 2^10 , because there are only two sequences when  same result (heads or tails) shows twice in a row exactly once in the ten tosses (HTHTHTHTHT and THTHTHTHTH) out of 2^10 possible sequences.

2/2^10 = 2/1024 =1/512

help me simplify this question
5p-3-(1+p)+(2p)​

Answers

Answer:

This is the answer. All the very best

Write a function g whose graph represents the indicated transformation of the graph of F. Let g be a translation 4 units down and a horizontal shrink by a factor of of the graph of f(x) = x.​

Answers

Answer:

g(x) = 6x+4

Step-by-step explanation:

The given function f(x)=x

Let p(x) be an intermediate function after translation of f(x).

So, after the translation 4 unit down, the new function

p(x) = f(x) - 4

p(x) = x-4

Now, there is a horizontal shrink by a factor of 6, so the required function g(x) is

g(x) = p(6x) [here 6 is the horizontal shrink factor]

g(x) = 6x-4

Hence, the required function is g(x) = 6x+4

what is the volume of the cone to the nearest cubic centimeter?

Answers

Answer:

301.44

Step-by-step explanation:

Complete the description of the slope of the line that joins the points
positive
negative
0
undefined

Answers

Answer:

The slope of the line that joins the points is negative.

i.e m = -6/5

Step-by-step explanation:

Taking two points from the graph to determine the slope

(-3, 4)(2, -2)

Finding the slope between (-3, 4),(2, -2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]'

[tex]\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(2,\:-2\right)[/tex]

[tex]m=\frac{-2-4}{2-\left(-3\right)}[/tex]

[tex]m=-\frac{6}{5}[/tex]

Therefore, the slope of the line that joins the points is negative.

i.e m = -6/5

what is the answer please ?​

Answers

Answer:

10

Step-by-step explanation:

i think

$0.35 is what percent of a dollar?

Answers

35%

Explanation: I think it’s pretty obvious
it is 35% of a dollar

have a nice day

The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many
students are girls?​

Answers

Answer:

16 students are girls.

Step-by-step explanation:

5:4=36

5x+4x=36

9x=36

x=4.

So we can multiply the ratio by 4.

4(5+4)

20+16.

Since girls is 4, there are 16 girls.

Hope this helps plz hit the crown :D

Answer:

let ratio of boys and girl be 5x and 4x

now

5x+4x=36

9x=36

x=36÷9

x=4

now

number of boys in class is 5x=5*4=20

Number of girls in class is= 4x

=4*4

=16 ans

here are 5 number cards

Answers

Aww thanks mate!!!!!!!!!!!!!!!!

Answer:

im doind the same question on mahswatch what is it

Step-by-step explanation:

21 = 4x - 9 - x
what is x?

Answers

Answer:

x = 10

Step-by-step explanation:

21 = 4x - 9 - x

21 = 3x - 9

30 = 3x

10 = x

Answer:

x = 10

Step-by-step explanation:

Given

21 = 4x - 9 - x, that is

21 = 3x - 9 ( add 9 to both sides )

30 = 3x ( divide both sides by 3 )

10 = x

The function c(x) = 18x -10 represents the cost in dollars. How many tickets can you buy?

Answers

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 170 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]c(x) = 18x -10[/tex]

The slope-intercept form of the line equation

We know that the slope-intercept form of the line equation

y=mx+b

where m is the slope and b is the y-intercept

so

[tex]c(x) = 18x - 10[/tex]

comparing with the slope-intercept form of the line equation

here:

rate of change = 18c(x) or y represents the cost

and

'x' represents the number of tickets

Assuming the total cost i.e. c(x) = $170

In order to determine the value of x, set c(x) = 170

i.e.

170 = 18x -10

switch sides

18x - 10 = 170

add 10 to both sides

18x - 10 + 10 = 170 + 10

18x = 180

Divide 18 to both sides

18x/18 = 180/18

x =  10

Therefore, if you can buy x = 10 tickets if you pay  170 dollars.

20 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 3 trips, and for each trip, Lennox gets 300 dollars. On a single trip, a truck delivers 50 packs, and each pack contains 12 kilograms of apples. Overall, Lennox sells 4500 dollars worth of apples in a week.
How much does Lennox get for a single kilogram of apples?

____________dollars per kilogram

Answers

Answer:

$0.50 per kilogram

Step-by-step explanation:

($300/trip)/(50 packs/trip) = $6/pack

($6/pack)/(12 kilograms/pack) = $0.50/kilogram

What is the equation of the line with slope 3 through the point (5, 1) in point-slope form?
y-5=3(x-1)
y-1=3(x-5)
y=3x-14
y=3x+2

Answers

GEOGEBRA HELPS A LOT LIKE NO CAP GO TO GEOGEBRA!!!

To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Mia buys a carton of jumbo eggs and measures one of the eggs as 2.4 oz. What is the percent error? *

Answers

Answer: 4.17%

Step-by-step explanation:

Formula for percentage error = [tex]\dfrac{|\text{Estimated weight - Actual weight}|}{\text{Actual weight}}\times100[/tex]

Given: Estimated weight = 2.5 oz

Actual weight = 2.4 oz

Percentage error = [tex]\dfrac{2.5-2.4}{2.4}\times100\%[/tex]

[tex]=\dfrac{0.1}{2.4}\times100\%\\\\=\dfrac{100}{24}\%=4.17\%[/tex]

Hence, the percent error = 4.17%

I’ll give brainliest plz quick

Answers

the total area of the pentagon should be 144 inches!!!

Describe this number line and the numbers and fractions shown.

A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number.

Answers

Answer:

Please check the number line attached below.

Step-by-step explanation:

Please check the attached graph below.

The line graph is representing that a number line:

Going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number.

From the graph, it is clear that the point 0 is taken as arbitrary. The left side number units from 0 represent the negative values and the right-sided number units from 0 represent the positive values.

When we move on the right side from the 0, the numbers increase and when you move on the right side from the 0, the number decreases.

Answer:

The number line shows -2 through 2, divided into fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.

Step-by-step explanation:purrr

help please !! it's asking "find the measure of the missing angle" yet there's nothing ??​

Answers

Answer:

60 degrees

Step-by-step explanation:

All the angles are the same so 180 divided by 3 is 60

Emiliana pays 6% sales tax on a cupcake that costs 3 dollars. How much does the sales tax add to the purchase price? Please tell me how you got the answer. (answer choices: $0.018, $18, $0.18, $3.18)

Answers

Answer:

$0.18 sales tax will be added to the purchase price.

Step-by-step explanation:

Given that:

Cost of cupcake = $3

Sales tax applied = 6%

Amount of sales tax = 6% of cost of cupcake

Amount of sales tax = [tex]\frac{6}{100}*3[/tex]

Amount of sales tax = 0.06 * 3 = $0.18

Hence,

$0.18 sales tax will be added to the purchase price.

Put the following numbers in order from least to greatest:
10, -10, -7, 5, -3, 0, 2, -1, -2, -23, 23, 2, 15, 3, - 15

Answers

Answer:

-23, -15, -10, -7, -3, -2, -1, 0, 2, 2, 3, 5, 10, 15, 23  

Step-by-step explanation:

:)

Find the distance between −8 and 9 on a number line. _____ unit(s)

Answers

Answer: 17
Because from -8 to 0 is 8 from 0 to 9 is 9
8+9 is 17

Bruce overdrew his checking account by $19, for which his bank charged him a $35 overdraft fee. If he deposits $60, what will his balance be?
$

Answers

His balance will be $6 because -19 - 35 = -54, he added 60 to the -54 so that makes 6 or $6

Help please asap!! I will mark you as brainliest :)

Answers

K=4


I crossed multiply to do it

Answer:

k=4

Step-by-step explanation:

cross multiply so it would be:

8k+24=56

subtract 24 from 56

8k+24-24=56-24

8k=32

divde

8k/8=32/8

k=4

Orianna had 10 tiles to arrange in a rectangular design. She drew a model of the rectangles she could make with the 10 tiles. Ask Your Teacher
What can Orianna conclude about the number 10 from her model?

Answers

Answer:

There are four possible rectangles with 10 tiles.

Step-by-step explanation:
The question for this problem is: How many different rectangles could she make with the 10 tiles?

All the dimensions possible are all products that give 10 as a result. So, all possible rectangles would be:
2 width x 5 length = 10
5 width x 2 length = 10
1 width x 10 length = 10
10 width x 1 length = 10

Write the equation, 3x+7=2(3-y) in function form.

Answers

Answer:

The function of the equation is f(x) =  [tex]-\frac{1}{2}[/tex]  [tex]-\frac{3}{2}[/tex] x

Step-by-step explanation:

The function form of the linear equation is f(x) = m x + b, where

m is the slope of the line represents the graph of the functionb is the y-intercept

∵ The equation is 3x + 7 = 2(3 - y)

→ Simplify the right side by multiplying the bracket by 2

∵ 3x + 7 = 2(3) - 2(y)

3x + 7 = 6 - 2y

→ Add 2y for both sides

∵ 2y + 3x + 7 = 6 - 2y + 2y

2y + 3x + 7 = 6

→ Subtract 7 from both sides

∵ 2y + 3x + 7 - 7 = 6 - 7

2y + 3x = -1

→ Subtract 3x from both sides

∵ 2y + 3x - 3x = -1 - 3x

2y = -1 - 3x

→ Divide each term by 2

∴ y = [tex]-\frac{1}{2}[/tex] - [tex]\frac{3}{2}[/tex] x

→ Replace y by f(x)

∴ f(x) =  [tex]-\frac{1}{2}[/tex]  [tex]-\frac{3}{2}[/tex] x

The function of the equation is f(x) =  [tex]-\frac{1}{2}[/tex]  [tex]-\frac{3}{2}[/tex] x

solve for x. Enter your answer in interval notation using grouping symbols. x^2+9x<-20

Answers

Step-by-step explanation:

x^2+9x<-20

x^2+9x+20<0

( x+5)(x+4)<0

x+5<0,x+4<0

x<-4 (because x<-5 is extraneous solution)

Jon earns $4 for delivering groceries and $2 for each delivery he makes.

How much money will he earn if he delivers to five houses?

Answers

Answer:

$14

Step-by-step explanation:

ok so since he is delivering groceries he gets $4.

now when he delivers he get $2 more, so for each house he delivers to he adds $2 to that $4.

so the easiest was to do this is 5x2.

5x2 is 10.

now $10 is how much more he gets on top of the $4, so now we need to add the $4 to the $10.

your answer is $14  

plz mark brainliest!

2x - 3y --24
x + 6y = 18
Substitution

Answers

Answer:

y=12

x=30

Step-by-step explanation:

2x-3y=24 ... 1

x+6y=18 ... 2

2*2:

2x+12y=36...3

3-1:

y=12

x=30

When the following system of equations 2x - 3y = -24 and x + 6y = 18 are solved, the value of x and y is found to be -6 and -4 respectively.

Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.

Given the system of equations:

2x - 3y = -24 (equation1)

x + 6y = 18 (equation2)

From equation 2,

x = 18 - 6y

Now, substitute this expression for x in equation (1):

2(18 - 6y) - 3y = -24

36 - 12y - 3y = -24

36 - 15y = -24

-15y = -60

y = [tex]\frac{(-60)}{(-15)}[/tex]

y = 4.

Now substitute it back into equation (2) to solve for x:

x + 6(4) = 18

x + 24 = 18

x = 18 - 24

x = -6

Therefore, the solution to the system of equations is x = -6 and y = 4.

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NEED ASAP PLESDE through (-2,7) perpendicular to 5y+x=20
(Show in point slope form and slope/intercept form )

Answers

Answer:

y = 5x + 16

Step-by-step explanation:

5y + x = 20

5y = -x + 20

y = [tex]-\frac{1}{5}[/tex]x + 20

Points: (-2, 7)

Slope (m⊥): = 5

y = 5x + b

7 = 5 ( -2 ) + b

6 = -10 + b

b = 16

y = 5x + 16

Describe the lines below as parallel, perpendicular,or neither.
3x+6y=42 and y=2x-1

Answers

Answer:

They are neither perpendicular nor parallel.

Step-by-step explanation:

Find the gradient of 2x + 6y = 42 by rearranging it in the form y = mx + c:

6y = -2x + 42

y = -(1/3)x + 7

The gradient is the co-efficient of x

Therefore the gradient is -(1/3)

The gradient of y = 2x - 1 is 2.

If they were parallel they would have the same gradient.

If they were perpendicular then the gradient of one would be the negative reciprocal of the other, e.g: if one was 2, the other would be -(1/2).

Neither of these are true, so they are neither perpendicular nor parallel.

The lines 3x+6y=42 and y=2x-1 are perpendicular

Two lines are parallel if they have equal slope

Two lines are perpendicular if the product of their slopes equals -1

The given lines are:

3x+6y=42 and y=2x-1

Rewrite each of the equations in the form y = mx + c

For line 3x + 6y = 42:

[tex]6y = -3x + 42\\\\y=\frac{-3}{6} x+\frac{42}{6}\\\\y=-0.5x+7[/tex]

The slope, m₁  =  -0.5

For line y = 2x - 1

The slope, m₂ = 2

Since m₁  ≠ m₂, lines 3x+6y=42 and y=2x-1 are not parallel

m₁ m₂  =  -0.5(2)

m₁ m₂  = -1

Since the product of the slopes equals -1, the lines 3x+6y=42 and y=2x-1 are perpendicular

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